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121326336 = 28345851
BaseRepresentation
bin1110011101101…
…00101100000000
322110022000110000
413032310230000
5222024420321
620012240000
73002154045
oct716645400
9273260400
10121326336
11625382aa
1234770000
131c19c841
14121831cc
15a9b8826
hex73b4b00

121326336 has 90 divisors (see below), whose sum is σ = 361835012. Its totient is φ = 40435200.

The previous prime is 121326323. The next prime is 121326341. The reversal of 121326336 is 633623121.

It is a happy number.

121326336 is a `hidden beast` number, since 1 + 2 + 1 + 326 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17811 + ... + 23661.

Almost surely, 2121326336 is an apocalyptic number.

121326336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180917506).

121326336 is an abundant number, since it is smaller than the sum of its proper divisors (240508676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121326336 is an frugal number, since it uses more digits than its factorization.

121326336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5856 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 121326336 is about 11014.8234665836. The cubic root of 121326336 is about 495.0529970805.

Adding to 121326336 its reverse (633623121), we get a palindrome (754949457).

The spelling of 121326336 in words is "one hundred twenty-one million, three hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 5851 6912 10368 11702 17553 20736 23404 35106 46808 52659 70212 93616 105318 140424 157977 187232 210636 280848 315954 374464 421272 473931 561696 631908 748928 842544 947862 1123392 1263816 1497856 1685088 1895724 2246784 2527632 3370176 3791448 4493568 5055264 6740352 7582896 10110528 13480704 15165792 20221056 30331584 40442112 60663168 121326336